Nonlinear Finite Element Methods

Author: Peter Wriggers

Publisher: Springer Science & Business Media

ISBN: 3540710000

Category: Mathematics

Page: 560

View: 2508

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Introduction to Nonlinear Finite Element Analysis

Author: Nam-Ho Kim

Publisher: Springer Science & Business Media

ISBN: 1441917462

Category: Technology & Engineering

Page: 430

View: 7686

This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book focuses on three representative problems: nonlinear elasticity, elastoplasticity, and contact problems. The book is written independent of any particular software, but tutorials and examples using four commercial programs are included as appendices: ANSYS, NASTRAN, ABAQUS, and MATLAB. In particular, the MATLAB program includes all source codes so that students can develop their own material models, or different algorithms. Please visit the author's website for supplemental material, including PowerPoint presentations and MATLAB codes, at

Non-linear finite element analysis of solids and structures

Author: M. A. Crisfield

Publisher: John Wiley & Sons

ISBN: 9780471956495

Category: Mathematics

Page: 508

View: 7381

Non-linear Finite Element Analysis of Solids and Structures Volume 2: Advanced Topics M. A. Crisfield Imperial College of Science, Technology and Medicine, London, UK In such fields as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are becoming widely used for the solution of practical engineering problems. Taking an engineering rather than a mathematical bias, this comprehensive book builds on the fundamental ideas explained in Volume One, introducing the reader to more detailed, advanced topics. Large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and nonlinear dynamics, are covered in depth. Examples from a non-linear finite element computer program incorporating the advanced solution procedures are included. The computer program is available on the Internet via anonymous ftp, using the URL

Introduction to the Finite Element Method 4E

Author: J. N. Reddy

Publisher: McGraw-Hill Education

ISBN: 9781259861901

Category: Technology & Engineering

Page: 816

View: 992

An up-to-date, self-contained introduction to the theory and applications of the finite element method This thoroughly revised classic engineering textbook offers a broad-based overview of the finite element method. Written by a world-renowned mechanical engineering researcher and author, the book shows, step-by-step, how to calculate numerical solutions to steady-state as well as time-dependent problems. You also get detailed problems with worked-out solutions and downloadable programs that can be used and modified for real-world situations. Special attention is paid to applications that are important in bioengineering, fluid and thermal sciences, structural mechanics, and a host of applied sciences. Introduction to the Finite Element Method, Fourth Edition, covers:•Mathematical preliminaries and classical variational methods•1-D finite element models of second-order differential equations•Applications to 1-D heat transfer and fluid and solid mechanics problems•Finite element analysis of beams and circular plates•Plane trusses and frames•Eigenvalue and time-dependent problems in 1-D•Numerical integration and computer implementation in 1-D•Single-variable problems in two dimensions•2-D interpolation functions, numerical integration, and computer implementation in 2-D•Flows of viscous incompressible fluids•Plane elasticity•3-D finite element analysis

Nonlinear Finite Elements for Continua and Structures

Author: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary

Publisher: John Wiley & Sons

ISBN: 1118700082

Category: Science

Page: 832

View: 8520

This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended finite element method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation-density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today's software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners in industry.

An Introduction to Linear and Nonlinear Finite Element Analysis

A Computational Approach

Author: Prem Kythe,Dongming Wei

Publisher: Springer Science & Business Media

ISBN: 0817681604

Category: Mathematics

Page: 445

View: 2953

Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.

Nonlinear Finite Element Analysis and Adina

Proceedings of the 4th ADINA Conference

Author: K. J. Bathe

Publisher: Elsevier

ISBN: 1483161749

Category: Technology & Engineering

Page: 314

View: 7304

Nonlinear Finite Element Analysis and ADINA contains the proceedings of the Fourth ADINA Conference held at Massachusetts Institute of Technology on June 15-17, 1983. Separating the papers presented in the conference as chapters, this book first elucidates the use of ADINA for analysis of mines with explosive fills. Subsequent chapters explore the use of ADINA in soil mechanics; nonlinear shell analysis; analysis of bond between prestressed steel and concrete; determination and simulation of stable crack growth; offshore structures analysis; modeling of traveling-loads and time-dependent masses; and comparison of two slideline methods. Other notable applications of ADINA are also shown.

Nonlinear Finite Element Analysis in Structural Mechanics

Proceedings of the Europe-U.S. Workshop Ruhr-Universität Bochum, Germany, July 28–31, 1980

Author: Walter Wunderlich,E. Stein,K.J. Bathe

Publisher: Springer Science & Business Media

ISBN: 3642815898

Category: Science

Page: 777

View: 2084

An Introduction to Nonlinear Finite Element Analysis

With Applications to Heat Transfer, Fluid Mechanics, and Solid Mechanics

Author: Junuthula Narasimha Reddy,J. N. Reddy

Publisher: Oxford University Press, USA

ISBN: 0199641757

Category: Science

Page: 687

View: 1531

The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters. The book may be used as a textbook for an advanced course (after a first course) on the finite element method orthe first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.

Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics

Author: Shen R. Wu,Lei Gu

Publisher: John Wiley & Sons

ISBN: 1118382072

Category: Mathematics

Page: 352

View: 8496

A systematic introduction to the theories and formulations of the explicit finite element method As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite element method has become increasingly important, particularly in the areas of crashworthiness, metal forming, and impact engineering. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is the first book to address specifically what is now accepted as the most successful numerical tool for nonlinear transient dynamics. The book aids readers in mastering the explicit finite element method and programming code without requiring extensive background knowledge of the general finite element. The authors present topics relating to the variational principle, numerical procedure, mechanical formulation, and fundamental achievements of the convergence theory. In addition, key topics and techniques are provided in four clearly organized sections: • Fundamentals explores a framework of the explicit finite element method for nonlinear transient dynamics and highlights achievements related to the convergence theory • Element Technology discusses four-node, three-node, eight-node, and two-node element theories • Material Models outlines models of plasticity and other nonlinear materials as well as the mechanics model of ductile damage • Contact and Constraint Conditions covers subjects related to three-dimensional surface contact, with examples solved analytically, as well as discussions on kinematic constraint conditions Throughout the book, vivid figures illustrate the ideas and key features of the explicit finite element method. Examples clearly present results, featuring both theoretical assessments and industrial applications. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is an ideal book for both engineers who require more theoretical discussions and for theoreticians searching for interesting and challenging research topics. The book also serves as an excellent resource for courses on applied mathematics, applied mechanics, and numerical methods at the graduate level.

Nonlinear finite element analysis and ADINA

proceedings of the 6th ADINA Conference, Massachusetts Institute of Technology, 10-12 June 1987

Author: Klaus-Jürgen Bathe

Publisher: Pergamon

ISBN: 9780080359052

Category: Mathematics

Page: 414

View: 5218

Computational Contact Mechanics

Author: Peter Wriggers,Tod A. Laursen

Publisher: Springer Science & Business Media

ISBN: 9783211772980

Category: Technology & Engineering

Page: 248

View: 7701

Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Automation of Finite Element Methods

Author: Jože Korelc,Peter Wriggers

Publisher: Springer

ISBN: 3319390058

Category: Technology & Engineering

Page: 346

View: 7304

New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especially for nonlinearformulations. The automation of this process can help to speed up this processconsiderably since the generation of the final computer code can be accelerated by order ofseveral magnitudes.This book provides the reader with the required knowledge needed to employ modernautomatic tools like AceGen within solid mechanics in a successful way. It covers the rangefrom the theoretical background, algorithmic treatments to many different applications. Thebook is written for advanced students in the engineering field and for researchers ineducational and industrial environments.

Programming the Finite Element Method

Author: I. M. Smith,D. V. Griffiths,L. Margetts

Publisher: John Wiley & Sons

ISBN: 1118535928

Category: Technology & Engineering

Page: 688

View: 1560

Many students, engineers, scientists and researchers have benefited from the practical, programming-oriented style of the previous editions of Programming the Finite Element Method, learning how to develop computer programs to solve specific engineering problems using the finite element method. This new fifth edition offers timely revisions that include programs and subroutine libraries fully updated to Fortran 2003, which are freely available online, and provides updated material on advances in parallel computing, thermal stress analysis, plasticity return algorithms, convection boundary conditions, and interfaces to third party tools such as ParaView, METIS and ARPACK. As in the previous editions, a wide variety of problem solving capabilities are presented including structural analysis, elasticity and plasticity, construction processes in geomechanics, uncoupled and coupled steady and transient fluid flow and linear and nonlinear solid dynamics. Key features: • Updated to take into account advances in parallel computing as well as new material on thermal stress analysis • Programs use an updated version of Fortran 2003 • Includes exercises for students • Accompanied by website hosting software Programming the Finite Element Method, Fifth Edition is an ideal textbook for undergraduate and postgraduate students in civil and mechanical engineering, applied mathematics and numerical analysis, and is also a comprehensive reference for researchers and practitioners. Further information and source codes described in this text can be accessed at the following web sites: • /PFEM5 for the serial programs from Chapters 4-11 • for the parallel programs from Chapter 12

Finite Element Procedures

Author: Klaus-Jürgen Bathe

Publisher: Klaus-Jurgen Bathe

ISBN: 9780979004902

Category: Engineering mathematics

Page: 1037

View: 8086

Nonlinear Solid Mechanics for Finite Element Analysis: Statics

Author: Javier Bonet,Antonio J. Gil,Richard D. Wood

Publisher: Cambridge University Press

ISBN: 1107115795

Category: Mathematics

Page: 350

View: 6255

A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.